Solve 55/8div11/2=w

$$5 \frac { 5 } { 8 } \div 1 \frac { 1 } { 2 } = w$$

Solve for w

$$w = \frac{15}{4} = 3\frac{3}{4} = 3.75$$

Steps for Solving Linear Equation

Divide \frac{5\times 8+5}{8} by \frac{1\times 2+1}{2} by multiplying \frac{5\times 8+5}{8} by the reciprocal of \frac{1\times 2+1}{2}.

$$\frac{\left(5\times 8+5\right)\times 2}{8\left(1\times 2+1\right)}=w$$

Cancel out 2 in both numerator and denominator.

$$\frac{5+5\times 8}{4\left(1+2\right)}=w$$

Multiply 5 and 8 to get 40.

$$\frac{5+40}{4\left(1+2\right)}=w$$

Add 5 and 40 to get 45.

$$\frac{45}{4\left(1+2\right)}=w$$

Add 1 and 2 to get 3.

$$\frac{45}{4\times 3}=w$$

Multiply 4 and 3 to get 12.

$$\frac{45}{12}=w$$

Reduce the fraction \frac{45}{12} to lowest terms by extracting and canceling out 3.

$$\frac{15}{4}=w$$

Swap sides so that all variable terms are on the left hand side.

$$w=\frac{15}{4}$$